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2330208 = 25342931
BaseRepresentation
bin1000111000111001100000
311101101110000
420320321200
51044031313
6121540000
725543416
oct10707140
94341400
102330208
1113517a1
12944600
1363782a
144492b6
15310673
hex238e60

2330208 has 120 divisors (see below), whose sum is σ = 7318080. Its totient is φ = 725760.

The previous prime is 2330203. The next prime is 2330221. The reversal of 2330208 is 8020332.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330201) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75153 + ... + 75183.

It is an arithmetic number, because the mean of its divisors is an integer number (60984).

22330208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2330208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659040).

2330208 is an abundant number, since it is smaller than the sum of its proper divisors (4987872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2330208 is a wasteful number, since it uses less digits than its factorization.

2330208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2330208 is about 1526.5018833922. The cubic root of 2330208 is about 132.5759953271.

The spelling of 2330208 in words is "two million, three hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 31 32 36 48 54 58 62 72 81 87 93 96 108 116 124 144 162 174 186 216 232 248 261 279 288 324 348 372 432 464 496 522 558 648 696 744 783 837 864 899 928 992 1044 1116 1296 1392 1488 1566 1674 1798 2088 2232 2349 2511 2592 2697 2784 2976 3132 3348 3596 4176 4464 4698 5022 5394 6264 6696 7192 8091 8352 8928 9396 10044 10788 12528 13392 14384 16182 18792 20088 21576 24273 25056 26784 28768 32364 37584 40176 43152 48546 64728 72819 75168 80352 86304 97092 129456 145638 194184 258912 291276 388368 582552 776736 1165104 2330208